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Finding the Third Proportional to 186,937.50 and 282,636

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Solution

The third proportional to 186,937.50 and 282,636 is: 427,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,937.50 : 282,636 = 282,636 : x
  2. Step 2: Convert to fraction form
    186,937.50/282,636 = 282,636/x
  3. Step 3: Cross multiply
    186,937.50x = 282,636 × 282,636
  4. Step 4: Simplify right side
    186,937.50x = 79,883,108,496
  5. Step 5: Solve for x
    x = 79,883,108,496/186,937.50
  6. Step 6: Final answer
    x = 427,325.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.